Fine-tuning neural PDE operators to regime endpoints reveals a physical direction in weight space that CCM uses to compose accurate merged models for new or extrapolated regimes from metadata or short prefixes.
Group equivariant fourier neural operators for partial differential equations
4 Pith papers cite this work. Polarity classification is still indexing.
fields
cs.LG 4years
2026 4verdicts
UNVERDICTED 4representative citing papers
Isotropic Fourier Neural Operators enforce spatial symmetries in Fourier layers, improving PDE-solving performance while reducing parameters by up to 16x in 2D and 96x in 3D.
EqGINO adds a spectral isotropy prior to FNOs to guarantee discrete equivariance and enable generalization to continuous SE(3) transformations on 3D PDEs with limited training data.
DW-Net improves the accuracy versus computational cost Pareto front over standard U-Nets for 2D and 3D multi-scale flow benchmarks by stacking multiple waves while keeping training settings identical.
citing papers explorer
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Discovering Physical Directions in Weight Space: Composing Neural PDE Experts
Fine-tuning neural PDE operators to regime endpoints reveals a physical direction in weight space that CCM uses to compose accurate merged models for new or extrapolated regimes from metadata or short prefixes.
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Isotropic Fourier Neural Operators
Isotropic Fourier Neural Operators enforce spatial symmetries in Fourier layers, improving PDE-solving performance while reducing parameters by up to 16x in 2D and 96x in 3D.
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EqGINO: Equivariant Geometry-Informed Fourier Neural Operators for 3D PDEs
EqGINO adds a spectral isotropy prior to FNOs to guarantee discrete equivariance and enable generalization to continuous SE(3) transformations on 3D PDEs with limited training data.
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Deep Wave Network for Modeling Multi-Scale Physical Dynamics
DW-Net improves the accuracy versus computational cost Pareto front over standard U-Nets for 2D and 3D multi-scale flow benchmarks by stacking multiple waves while keeping training settings identical.